Optimal multiobjective design of digital filters using spiral optimization technique

Abderrahmane Ouadi,Abdelmadjid Recioui,Hamid Bentarzi

doi:10.1186/2193-1801-2-461

Abstract

The multiobjective design of digital filters using spiral optimization technique is considered in this paper. This new optimization tool is a metaheuristic technique inspired by the dynamics of spirals. It is characterized by its robustness, immunity to local optima trapping, relative fast convergence and ease of implementation. The objectives of filter design include matching some desired frequency response while having minimum linear phase; hence, reducing the time response. The results demonstrate that the proposed problem solving approach blended with the use of the spiral optimization technique produced filters which fulfill the desired characteristics and are of practical use.

Highlights

Digital filters exist in two types: Finite impulse response (FIR) and Infinite impulse response (IIR) or recursive
More constraints are added to the optimization process including minimum and linear phase and constant group delay to enhance the designed filter performance
The application of the spiral optimization method to design a multiobjective digital filter has been considered in this paper

Summary

Introduction

Digital filters exist in two types: Finite impulse response (FIR) and Infinite impulse response (IIR) or recursive. Attempts have been made to develop methods to design recursive (IIR) filters whose delay characteristics approximate a constant value in the passband. Sullivan et al (Sullivan James and Adams 1998) have proposed the algorithm based on the peak–constrained least– squares optimality criterion for cascaded IIR filters, which can design a filter that has an equalized group delay without the use of all pass filters, and it can simultaneously meet the frequency response magnitude specifications by using all of the filter coefficients available to optimize the filter.

Results

Conclusion